Nonlinear Discrete Optimization Project

This research project concerns the development of an algorithmic theory of nonlinear discrete optimization (including integer programming and combinatorial optimization) and its many applications, continuing recent exciting developments using algebraic and geometric methods. Background material on the state of the art in this area can be found at:

• My book: Nonlinear Discrete Optimization
  Zurich Lectures in Advanced Mathematics,
  European Mathematical Society, 2010, 147 pages

• My article (IMA Volume on Mixed Integer Nonlinear Programming, Springer Frontier Series, 2009): Theory and Applications of N-Fold Integer Programming

• My Nachdiplom Lecture Notes (given at ETH Zürich in Spring 2009)

• Advanced course to be offered this coming spring 2011